In the diagram below. De and Ef are tangent to 0. Which equation could be solved to find y, the measure of DGF? O A. ;(-127) = 53 OB. }(v + 127) = 53 O c. }(y-53) = 127 OD. } (x + 53) = 127​

In The Diagram Below. De And Ef Are Tangent To 0. Which Equation Could Be Solved To Find Y, The Measure

Answers

Answer 1

Answer:

A

Step-by-step explanation:

The tangent- tangent angle DEF is half the difference of the measure of the intercepted arcs , that is

[tex]\frac{1}{2}[/tex] (y - 127) = 53 → A

Answer 2

The intercepted arcs of y is 1/2(y -127) = 53.

What is intercepted arc?

The intercepted arc exists the arc that exists inside the inscribed angle and whose endpoints exist on the angle. The vertex of an inscribed angle can be anywhere on the circle as stretched as its sides intersect the circle to construct an intercepted arc.

Let, DE and EF exist as tangents to O.

The value of y will be evaluated as follows:

For angle created outside of circle by intersection:

Two tangents or two secants or a tangent and a secant, the formula for angle created outside will be:

An angle formed outside = 1/2(Difference of Intercepted Arcs)

An angle formed outside exists ∠DEF = 53°

Intercepted arcs exist y and 127°

Hence, 53 = 1/2(y -127)

Therefore, the correct answer is option C). 1/2(y -127) = 53.

To learn more about intercepted arcs refer to:

https://brainly.com/question/1626547

#SPJ2


Related Questions

what is the 1QR 14,11,8,1,23,20,17,5,19,10,12,22

Answers

Answer:

Step 1: Put the numbers in order.

1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27.

Step 2: Find the median.

1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27.

Step 3: Place parentheses around the numbers above and below the median.

Not necessary statistically, but it makes Q1 and Q3 easier to spot.

(1, 2, 5, 6, 7), 9, (12, 15, 18, 19, 27).

Step 4: Find Q1 and Q3

Think of Q1 as a median in the lower half of the data and think of Q3 as a median for the upper half of data.

(1, 2, 5, 6, 7), 9, ( 12, 15, 18, 19, 27). Q1 = 5 and Q3 = 18.

Step 5: Subtract Q1 from Q3 to find the interquartile range.

18 – 5 = 13.

Step-by-step explanation:

what is the value of x in a circle​

Answers

Answer:

30°

Step-by-step explanation:

x = 180° -60°-90° = 30°

(x+4)+(x-3)+(2x+2)+(x^2+3x+1)

Answers

Answer:

X^2+7x+4

Step-by-step explanation:

What is the circumference of a circle with a diameter of 12 feet? (use 3.14 for pi)

36 ft.
37.68 ft.
36.26 ft.
38 ft.

Answers

Answer:

37.68ft

Step-by-step explanation:

Answer:

37.68 ft

Step-by-step explanation:

The circumference of a circle is given by

C = pi *d  where d is the diameter

C = 3.14 * 12

C =37.68 ft

The base of an open rectangular box is of length (2x + 5) cm and width x cm.
The area of this base is 58 cm
The height of the open box is (x - 2) cm.
a) Show that 2x + 5x -58 = 0
) Solve the equation 2x + 5x -58 = 0, giving your answers correct
to 2 decimal places
D) Hence calculate the volume of the box, stating the units of your answer.

Answers

Answer:

a) x = 8.29 cm

D) V = 1125.27 cm³

Step-by-step explanation:

a) We can solve the equation as follows:

[tex] 2x + 5x - 58 = 0 [/tex]

[tex] 2x + 5x = 58 [/tex]

[tex] x = \frac{58}{7} = 8.29 [/tex]

D) The volume of the box is given by:

[tex] V = l*w*h [/tex]

Where:

l: is the length

w: is the width

h: is the height

The length of the rectangular box is:

[tex] l = (2x + 5) cm = (2*8.29 + 5) cm = 21.58 cm [/tex]

The width is x = 8.29 cm.

And the height is:

[tex] h = (x - 2) cm = (8.29 - 2) cm = 6.29 cm [/tex]

Hence, the volume is:

[tex] V = l*w*h = (21.58*8.29*6.29) cm^{3} = 1125.27 cm^{3} [/tex]

I hope it helps you!        

I have a bag of coins.In it, one third is gold, one fifth of them are silver, two seventh are bronze the rest are copper. My bag can only fit 200 coins how many coins do i have in my bag?

Answers

Answer:

Copper = x= 36.19

Step-by-step explanation:

The number of copper is unknown

Gold = 1/3

Silver = 1/5

Bronze =2/7

Copper = x

Total coins = 200

Gold = 1/3 of 200

= 1/3 × 200

= 200/3

= 66.67

Silver = 1/5 × 200

= 200/5

= 40

Bronze = 2/7 × 200

= 400/7

= 57.14

Total = gold + silver + bronze + copper

200 = 66.67 + 40 + 57.14 + x

200 = 163.81 + x

200 - 163.81 = x

x = 36.19

Copper = x= 36.19

8p²-18p² need help from brainliest​

Answers

Answer:

- 10p2

Step-by-step explanation:

p(8p - 18 p)

p x -10p

ans = -10p2

Answer:  -10p²

This is the same as saying -10p^2

============================================

Explanation:

Both terms 8p² and -18p² are like terms.

We combine them in much the same way as 8-18 = -10, just with a p² attached to everything.

So 8p² - 18p²  = (8-18)p² = -10p²

The coefficient -10 is negative because we're subtracting small minus big. If it was the other way around, then we'd get a positive value.

WILL GIVE BRAINLIEST IF CORRECT!!!

Write an equation that represents the line.
Use exact numbers.

Answers

Answer:

y = 3/4 x - 9/2

Step-by-step explanation:

Slope = 3/4

y = mx + b

y = 3/4x + b

0 = 3/4 (6) + b

0 = 18/4 + b

-9/2 = b

y = 3/4 x - 9/2

Eliza says, “Every member of the population is equally likely to be selected for the sample”. Which type of sample is Eliza describing?

a
a random sample

b
a biased sample

c
a stratified sample

d
a quota sample

Answers

Answer: A. A random sample

Step-by-step explanation:

Since everyone is equally as likely yo be selected for this sample, is has to be random because there won't be any interference to the probability of your chances of being selected in the population

I hope this helps!

The plastic straws were placed under the wooden block to

Answers

Answer:

What? Your not even done.

Step-by-step explanation:

Simplify the expressions. 3p+-q-7r--8p-q+2r

Answers

Answer:

=11p-5r

Step-by-step explanation:

3p+(-q)-7r-(-8p)-q+2r=

3p-q-7r+8p-q+2r=

3p+8p-q-q-7r+2r=

11p-5r=

PLSSS, NEED ANSWER. Find the midpoint of the line segment with end coordinates of (-2,-5 and 3,-2
). Give coordinates as decimals where apropriate​

Answers

Answer:

(0.5, -3.5)

Step-by-step explanation:

(x1 + x2/2,   y1 + y2/2)

(-2 + 3 / 2,   -5 - 2 / 2)

(1/2, -7/2)

If m(y) = 12 + 3 and nl) = 5% +9, which expression is equivalent to (n))?
5x + y2 + 15% - 27
2542 - 90% - 84
745x + 12
587 +24

Answers

Answer:

Option (2)

Step-by-step explanation:

Two functions have been given as,

m(x) = x² + 3

n(x) = 5x + 9

And we have to find the value of (mn)(x).

Since, (mn)(x) = m[n(x)]

Therefore, m[n(x)] = (5x + 9)² + 3

                              = 25x² + 90x + 81 + 3

                              = 25x² + 90x + 84

This expression matches with the expression given in option (2).

Therefore, Option (2) will be the answer.

Evaluate angles s and r, giving reason for your answer​

Answers

Answer:

r=42 degrees

This is because of vertically opposite angles

s=68

This is because 180( angles in a triangle) minus ( 70 + 42) is equal to 68 degrees

Answer:

r = 42° , s = 68°

Step-by-step explanation:

r and 42° are vertical angles and are congruent , then

r = 42°

The sum of the 3 angles in a triangle = 180° , then

s = 180° - (70 + 42)° = 180° - 112° = 68°

3/4 part of a rope is 150m. find the length of 7/10 part of the rope
Please help ASAP with step by step explanation.

Answers

Answer:

140m

Step-by-step explanation:

3/4 = .75

x/.7 = 150/.75

multiply both sides by .7

x = 150/.75 * .7

x = 140m

14: A popular retailer offered 20% off their store for the entire weekend. Which of the following is the fraction equivalent of 20%?

Answers

Answer:

1/5

Step-by-step explanation:

20/100 or 1/5

By writing each number correct to 1 significant figure, estimate the value of
37.8 x 13.2
28,5 + 22.1
You must show all your working.​

Answers

Answer:

37.8 x 13.2 =4988.6

28,5 + 22.1 = 50.6

A+b=25
What is the value of 2a + 2b + 4

Answers

54 is your answer. Good luck

Answer:

THE ANSWER IS 54

Step-by-step explanation:

( Answer Honestly Please )
B. Translate the following English phrases to mathematical statements:
6. 3 times a number (x) is greater than 10
7. A number (x) added by 4 is less than or equal to 7
8. 6 is less than a number (x) divided by 6
9. The ratio of 10 and a number (x) is greater than or equal to 5
10.The sum of x and 7 is less than 4

Answers

Answer:

See below.

Step-by-step explanation:

6. 3 times a number (x) is greater than 10

     3x > 10

7. A number (x) added by 4 is less than or equal to 7

    x+4[tex]\leq[/tex]7

8. 6 is less than a number (x) divided by 6

   6 < x/6

9. The ratio of 10 and a number (x) is greater than or equal to 5

      (10/x) [tex]\geq[/tex] 5

10.The sum of x and 7 is less than 4

     x + 7 < 4

Sal knows the volume of a cylinder is 500 cubic units. He wants to create a cylinder with twice the volume. Which variation of the original cylinder will have a volume of exactly 1,000 cubic units?

Answers

You can double the height

a man spends ⅕ of his salary on shoes and ⅔ on school fees. what is the fraction of his salary left. pls help asap​

Answers

Answer:

2/15

Step-by-step explanation:

1/5 + 2/3

= 3/15 + 10/15

= 13/15

15/15 - 13/15

= 2/15

1/5 +2/3
=13/15
15/15-13/15
=2/15

in circle p, which arc is a major arc?​

Answers

If your asking to select all that apply, The formula is arc length = θ ( r ) {\displaystyle {\text{arc length}}=\theta (r)} , where equals the measurement of the arc's central angle in radians, and r {\displaystyle r} equals the length of the circle's radius. Plug the length of the circle's radius into the formula.ABC,BAD,DCB

More

For the points A and B, the major arc is the part of the circumference from A to B which contains the points E, D and C

What is arc in a circle and what are its classifications?

For a circle, take two points on its circumference. That divides the circumference of the considered circle in two parts. Those both parts are called arcs of the circle. The bigger part will be called the major arc, and the smaller one will be called the minor arc.

When the two points are chosen such that they're the endpoints of one of the diameters of the considered circle, then both the arcs are of same length due to symmetry, so there is no concept of major or minor between them.

For this case, there are 5 points, as A, B, C, D, and E.

Since no option is given, so let we take two points which are not on the ends of any diameter.

The points A and B are good enough.

So, the smaller part of the circumference between A and B is the minor arc and the bigger part which contains points like E, D and C is the major arc.

A demonstration is given in the image attached below.

Thus, for the points A and B, the major arc is the part of the circumference from A to B which contains the points E, D and C (the bigger part).

Learn more about major and minor arcs here:

https://brainly.com/question/9288523

how do I solve this?

Answers

Answer: I cant see the problem

Step-by-step explanation:

Answer:

Where is the question?

Step-by-step explanation:

What is m angle A? Enter your answer in the box.​

Answers

Answer:

ANSWER: 22

Step-by-step explanation:

hope it helps thankks

Answer:

I agree with the person above

Evaluate e^4 to one decimal place

Answers

Answer:

The answer is going to be the general form for e^x = 1 + x/(1!) + + x^2/(2!) + x^3/(3!) +.....,. till infinity so : e^4 = 1 + 4/1 + 16/ 2 + 64/6 + 256/24 + 1024/ 120 + 4096/720 + 16384/5040 +...till the fraction is<0.1 = 54.6

PLEASE HELP WILL MARK BRAINLIEST - An airplane travels 150 miles horizontally during a decrease of 35,000 feet vertically.
1. What is the angle of descent?
2. How long is the plane's path?

Answers

Answer:

[tex]\text{1. }2.53^{\circ},\\\text{2. }792,772.98\:\mathrm{ft}[/tex]

Step-by-step explanation:

Start by converting miles to feet:

[tex]150\text{ miles}=150\cdot 5280\text{ feet}=792000\text{ feet}[/tex]

Form a right triangle with the plane's displacement marking the hypotenuse of this triangle. We can now use basic trig for a right triangle to solve for the angle of descent.

Let the angle of descent be [tex]\theta[/tex]. In a right triangle, the tangent of an angle is equal to its opposite side divide by its adjacent side.

Therefore, we have:

[tex]\tan \theta=\frac{35000}{792000},\\\\\theta =\arctan(\frac{35000}{792000})=2.53036411\approx \boxed{2.53^{\circ}}[/tex]

In all right triangles, [tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse of the triangle and [tex]a[/tex] and [tex]b[/tex] are the two legs of the triangle (Pythagorean Theorem).

Therefore, the length of the plane's path is:

[tex]35,000^2+792,000^2=c^2,\\c^2=628489000000,\\c=\sqrt{628489000000}=792772.981376\approx \boxed{792,772.98\:\mathrm{ft}}[/tex]

What is the maximum value of the objective function, P, with the given constraints? P=25x+45y 4x+y≤16 x+y≤10 x≥0 y≥0

Answers

Answer:

the maximum is 450 and the minimum is 0.

Step-by-step explanation:

We know that:

P(x, y) = 25*x + 45*y

First, is easy to see that as x and y increase, also does the value of P(x, y)

So we just need to find the largest and smallest possible values of these variables. We also can notice that the variable y is being multiplicated by a larger coefficient than x, so we prioritize larger values of y when we can.

We know that:

4x+y ≤ 16

x + y ≤10

x≥0

y≥0

Let's start with the second inequality, let's solve this for y:

y ≤ 10 - x

and from the first one we get:

y ≤ 16 - 4*x

Just to show that maximizing x does not work, let's do it:

from the second one, knowing that the minimum value of y is y = 0

we have that:

0 ≤ 16 - 4*x

Here the maximum value that y can take is x = 1

0 ≤ 16 - 4*1 = 0

So we can have the combination y = 0 and x = 1, when we maximize x (here we can see that we should not maximize x)

in this case we get:

P(1, 0) = 25*1 + 47*0 = 25

let's write again our inequalities:

y ≤ 10 - x

y ≤ 16 - 4*x

If now we take the minimum value of x, x = 0, we get:

y ≤ 10

y ≤ 16

Because the first one is more restrictive, we know that the maximum value that y can take (when x = 0) is y = 10

in this case we get:

P(0, 10) = 25*0 + 45*10 = 450

As expected, here is the actual maximum for the given restrictions.

For the minimum, we just need to take the two lowest possible values of x and y, which are the two given by the equalities on:

x≥0

y≥0

The smallest values are:

x = 0

y = 0

Replacing that in the equation we get:

P(0, 0) = 25*0 + 47*0 = 0

So the maximum is 450 and the minimum is 0. (with the given restrictions)

10. What are the coordinates of point on the directed segment from A(2,-3) to B(8,-6) that
partitions the segment such that AC:CB is 4:2?
(1) (6,-5)
(3) (2,0)
(2) (-2, 2)
(4) (1, 1)

Answers

Answer:

(4, -4)

Step-by-step explanation:

Using the midpoint formula;

M(X,Y) = {(ax1+bx2)/a+b, (ay1+by2)/a+b}

X = (ax1+bx2)/a+b

Y = (ay1+by2)/a+b

Substitute

X = 4(2)+2(8)/4+2

X = 8+16/6

X = 24/6

X = 4

Also

Y = 4(-3)+2(-6)/6

Y = -12-12/6

Y = -24/6

Y = -4

Hence the required partition is (4, -4)

What expression is equivalent to (5z^2+3z+2)^2
?

Answers

Answer:

[tex]{ \tt{ {(5 {z}^{2} + 3z + 2)}^{2} }} \\ = (5 {z}^{2} + 3z + 2)(5 {z}^{2} + 3z + 2) \\ = (25 {z}^{4} + 30 {z}^{3} + 29 {z}^{2} + 12z + 4)[/tex]

Find the length of "b" to the nearest tenth.

Answers

Answer:

11.2

Step-by-step explanation:

(AB) ^2 - (BC) ^2 = b^2 (Pythogoras Theorem)

(15)^2 - (10)^2 = (b) ^2

b^2=225-100

b^2=125

b=root (125)

b=11.18

b=11.2

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